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<div class="title">extraMath.cpp</div>  </div>
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<a href="extra_math_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment"> * extraMath.cpp</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"> *  Created on: 24-nov.-2013</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment"> *      Author: Axel</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="extra_math_8h.html">extraMath.h</a>&quot;</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
<div class="line"><a name="l00010"></a><span class="lineno"><a class="line" href="namespacemath.html">   10</a></span>&#160;<span class="keyword">namespace </span>math {</div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="comment">/*todo:</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment">     * acos</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment">     * atan</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment">     * asin</span></div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment">     * acosh</span></div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment">     * asinh</span></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment">     * atanh</span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment">     * 2log</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment">     * 10log</span></div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="comment">     *</span></div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment">     * error function</span></div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="comment">     * complementary error</span></div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="comment">     * gamma</span></div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="comment">     * gamma-log</span></div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="comment">     *</span></div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="comment">     * integral</span></div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="comment">     * afgeleide</span></div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="comment">     */</span></div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="namespacemath.html#a36dff8b574630e29bbbe0e2c9068a4af">   31</a></span>&#160;    <span class="keywordtype">double</span> <a class="code" href="namespacemath.html#a36dff8b574630e29bbbe0e2c9068a4af">exp_axel</a>(<span class="keywordtype">int</span> x) {</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="namespacemath.html#a28895ef6ba766326141e0f13a171b4f4">power_axel</a>(<a class="code" href="extra_math_8h.html#a07484107e6d9fdf38b53edf631d6511d">E</a>, x);</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    }</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
<div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="namespacemath.html#a309da8f1e1437adfb4c937e3e16e52df">   35</a></span>&#160;    <span class="keywordtype">double</span> <a class="code" href="namespacemath.html#a309da8f1e1437adfb4c937e3e16e52df">exp2_axel</a>(<span class="keywordtype">int</span> x) {</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;            <span class="keywordflow">return</span> <a class="code" href="namespacemath.html#a28895ef6ba766326141e0f13a171b4f4">power_axel</a>(2, x);</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    }</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
<div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="namespacemath.html#a28895ef6ba766326141e0f13a171b4f4">   39</a></span>&#160;    <span class="keywordtype">double</span> <a class="code" href="namespacemath.html#a28895ef6ba766326141e0f13a171b4f4">power_axel</a>(<span class="keywordtype">double</span> base, <span class="keywordtype">double</span> power) {</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        <span class="keywordtype">double</span> result = base;</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        <span class="keywordflow">while</span> (power &gt; 0) {</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;            result*= base;</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;            power--;</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        }</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    }</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
<div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="namespacemath.html#aa7c256f3f5a4bb5e739062f7e07ec3dc">   49</a></span>&#160;    <span class="keywordtype">double</span> <a class="code" href="namespacemath.html#aa7c256f3f5a4bb5e739062f7e07ec3dc">faculty_axel</a>(<span class="keywordtype">double</span> x) {</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        <span class="keywordtype">double</span> result = 1;</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        <span class="keywordflow">while</span>(x &gt; 1) {</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;            result *= x;</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;            x--;</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;        }</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;    }</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
<div class="line"><a name="l00060"></a><span class="lineno"><a class="line" href="namespacemath.html#abebb0820558a617074db1c3dfdfb0fb0">   60</a></span>&#160;    <span class="keywordtype">double</span> <a class="code" href="namespacemath.html#abebb0820558a617074db1c3dfdfb0fb0">cosh_axel</a>(<span class="keywordtype">double</span> x) {</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        <span class="keywordtype">double</span> result = <a class="code" href="namespacemath.html#a28895ef6ba766326141e0f13a171b4f4">power_axel</a>(<a class="code" href="extra_math_8h.html#a07484107e6d9fdf38b53edf631d6511d">E</a>,x) + <a class="code" href="namespacemath.html#a28895ef6ba766326141e0f13a171b4f4">power_axel</a>(<a class="code" href="extra_math_8h.html#a07484107e6d9fdf38b53edf631d6511d">E</a>,-x);</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        <span class="keywordflow">return</span> result/2;</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;    }</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
<div class="line"><a name="l00066"></a><span class="lineno"><a class="line" href="namespacemath.html#a2ba3c1cb3648a8103e02ea76694447d1">   66</a></span>&#160;    <span class="keywordtype">double</span> <a class="code" href="namespacemath.html#a2ba3c1cb3648a8103e02ea76694447d1">sinh_axel</a>(<span class="keywordtype">double</span> x) {</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        <span class="keywordtype">double</span> result = <a class="code" href="namespacemath.html#a28895ef6ba766326141e0f13a171b4f4">power_axel</a>(<a class="code" href="extra_math_8h.html#a07484107e6d9fdf38b53edf631d6511d">E</a>,x) - <a class="code" href="namespacemath.html#a28895ef6ba766326141e0f13a171b4f4">power_axel</a>(<a class="code" href="extra_math_8h.html#a07484107e6d9fdf38b53edf631d6511d">E</a>,-x);</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keywordflow">return</span> result/2;</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;    }</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
<div class="line"><a name="l00072"></a><span class="lineno"><a class="line" href="namespacemath.html#a4debebac6f43afce8bd568cbc6eea54c">   72</a></span>&#160;    <span class="keywordtype">double</span> <a class="code" href="namespacemath.html#a4debebac6f43afce8bd568cbc6eea54c">tanh_axel</a>(<span class="keywordtype">double</span> x) {</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keywordtype">double</span> num = 1 - <a class="code" href="namespacemath.html#a28895ef6ba766326141e0f13a171b4f4">power_axel</a>(<a class="code" href="extra_math_8h.html#a07484107e6d9fdf38b53edf631d6511d">E</a>, -2*x);</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keywordtype">double</span> denum = 1 + <a class="code" href="namespacemath.html#a28895ef6ba766326141e0f13a171b4f4">power_axel</a>(<a class="code" href="extra_math_8h.html#a07484107e6d9fdf38b53edf631d6511d">E</a>, -2*x);</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keywordflow">return</span> num/denum;</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    }</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="namespacemath.html#a17cbc235bd13d4cf03d23f8385c5eb14">   78</a></span>&#160;    <span class="keywordtype">double</span> <a class="code" href="namespacemath.html#a17cbc235bd13d4cf03d23f8385c5eb14">cos_axel</a>(<span class="keywordtype">double</span> x) {</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keywordtype">double</span> result = x - <a class="code" href="namespacemath.html#a28895ef6ba766326141e0f13a171b4f4">power_axel</a>(x,3)/<a class="code" href="namespacemath.html#aa7c256f3f5a4bb5e739062f7e07ec3dc">faculty_axel</a>(3) + <a class="code" href="namespacemath.html#a28895ef6ba766326141e0f13a171b4f4">power_axel</a>(x,5)/<a class="code" href="namespacemath.html#aa7c256f3f5a4bb5e739062f7e07ec3dc">faculty_axel</a>(5) + <a class="code" href="namespacemath.html#a28895ef6ba766326141e0f13a171b4f4">power_axel</a>(x,7)/<a class="code" href="namespacemath.html#aa7c256f3f5a4bb5e739062f7e07ec3dc">faculty_axel</a>(7);</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    }</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
<div class="line"><a name="l00083"></a><span class="lineno"><a class="line" href="namespacemath.html#a767674863a96196fc201a2e0e83ebde8">   83</a></span>&#160;    <span class="keywordtype">double</span> <a class="code" href="namespacemath.html#a767674863a96196fc201a2e0e83ebde8">sin_axel</a>(<span class="keywordtype">double</span> x) {</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="keywordtype">double</span> result = 1 - <a class="code" href="namespacemath.html#a28895ef6ba766326141e0f13a171b4f4">power_axel</a>(x,2)/<a class="code" href="namespacemath.html#aa7c256f3f5a4bb5e739062f7e07ec3dc">faculty_axel</a>(2) + <a class="code" href="namespacemath.html#a28895ef6ba766326141e0f13a171b4f4">power_axel</a>(x,4)/<a class="code" href="namespacemath.html#aa7c256f3f5a4bb5e739062f7e07ec3dc">faculty_axel</a>(4) + <a class="code" href="namespacemath.html#a28895ef6ba766326141e0f13a171b4f4">power_axel</a>(x,6)/<a class="code" href="namespacemath.html#aa7c256f3f5a4bb5e739062f7e07ec3dc">faculty_axel</a>(6);</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;    }</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;</div>
<div class="line"><a name="l00088"></a><span class="lineno"><a class="line" href="namespacemath.html#a48ae0345b3ad8a499637ae898311e3ae">   88</a></span>&#160;    <span class="keywordtype">double</span> <a class="code" href="namespacemath.html#a48ae0345b3ad8a499637ae898311e3ae">tan_axel</a>(<span class="keywordtype">double</span> x) {</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="keywordtype">double</span> result = x + <a class="code" href="namespacemath.html#a28895ef6ba766326141e0f13a171b4f4">power_axel</a>(x,3)/<a class="code" href="namespacemath.html#aa7c256f3f5a4bb5e739062f7e07ec3dc">faculty_axel</a>(3) + (2*<a class="code" href="namespacemath.html#a28895ef6ba766326141e0f13a171b4f4">power_axel</a>(x,5))/<a class="code" href="namespacemath.html#aa7c256f3f5a4bb5e739062f7e07ec3dc">faculty_axel</a>(15);</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;    }</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;}</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
<div class="ttc" id="extra_math_8h_html"><div class="ttname"><a href="extra_math_8h.html">extraMath.h</a></div></div>
<div class="ttc" id="namespacemath_html_a17cbc235bd13d4cf03d23f8385c5eb14"><div class="ttname"><a href="namespacemath.html#a17cbc235bd13d4cf03d23f8385c5eb14">math::cos_axel</a></div><div class="ttdeci">double cos_axel(double x)</div><div class="ttdef"><b>Definition:</b> <a href="extra_math_8cpp_source.html#l00078">extraMath.cpp:78</a></div></div>
<div class="ttc" id="namespacemath_html_a4debebac6f43afce8bd568cbc6eea54c"><div class="ttname"><a href="namespacemath.html#a4debebac6f43afce8bd568cbc6eea54c">math::tanh_axel</a></div><div class="ttdeci">double tanh_axel(double x)</div><div class="ttdef"><b>Definition:</b> <a href="extra_math_8cpp_source.html#l00072">extraMath.cpp:72</a></div></div>
<div class="ttc" id="namespacemath_html_abebb0820558a617074db1c3dfdfb0fb0"><div class="ttname"><a href="namespacemath.html#abebb0820558a617074db1c3dfdfb0fb0">math::cosh_axel</a></div><div class="ttdeci">double cosh_axel(double x)</div><div class="ttdef"><b>Definition:</b> <a href="extra_math_8cpp_source.html#l00060">extraMath.cpp:60</a></div></div>
<div class="ttc" id="extra_math_8h_html_a07484107e6d9fdf38b53edf631d6511d"><div class="ttname"><a href="extra_math_8h.html#a07484107e6d9fdf38b53edf631d6511d">E</a></div><div class="ttdeci">#define E</div><div class="ttdef"><b>Definition:</b> <a href="extra_math_8h_source.html#l00014">extraMath.h:14</a></div></div>
<div class="ttc" id="namespacemath_html_a28895ef6ba766326141e0f13a171b4f4"><div class="ttname"><a href="namespacemath.html#a28895ef6ba766326141e0f13a171b4f4">math::power_axel</a></div><div class="ttdeci">double power_axel(double base, double power)</div><div class="ttdef"><b>Definition:</b> <a href="extra_math_8cpp_source.html#l00039">extraMath.cpp:39</a></div></div>
<div class="ttc" id="namespacemath_html_a48ae0345b3ad8a499637ae898311e3ae"><div class="ttname"><a href="namespacemath.html#a48ae0345b3ad8a499637ae898311e3ae">math::tan_axel</a></div><div class="ttdeci">double tan_axel(double x)</div><div class="ttdef"><b>Definition:</b> <a href="extra_math_8cpp_source.html#l00088">extraMath.cpp:88</a></div></div>
<div class="ttc" id="namespacemath_html_a767674863a96196fc201a2e0e83ebde8"><div class="ttname"><a href="namespacemath.html#a767674863a96196fc201a2e0e83ebde8">math::sin_axel</a></div><div class="ttdeci">double sin_axel(double x)</div><div class="ttdef"><b>Definition:</b> <a href="extra_math_8cpp_source.html#l00083">extraMath.cpp:83</a></div></div>
<div class="ttc" id="namespacemath_html_aa7c256f3f5a4bb5e739062f7e07ec3dc"><div class="ttname"><a href="namespacemath.html#aa7c256f3f5a4bb5e739062f7e07ec3dc">math::faculty_axel</a></div><div class="ttdeci">double faculty_axel(double x)</div><div class="ttdef"><b>Definition:</b> <a href="extra_math_8cpp_source.html#l00049">extraMath.cpp:49</a></div></div>
<div class="ttc" id="namespacemath_html_a309da8f1e1437adfb4c937e3e16e52df"><div class="ttname"><a href="namespacemath.html#a309da8f1e1437adfb4c937e3e16e52df">math::exp2_axel</a></div><div class="ttdeci">double exp2_axel(int x)</div><div class="ttdef"><b>Definition:</b> <a href="extra_math_8cpp_source.html#l00035">extraMath.cpp:35</a></div></div>
<div class="ttc" id="namespacemath_html_a2ba3c1cb3648a8103e02ea76694447d1"><div class="ttname"><a href="namespacemath.html#a2ba3c1cb3648a8103e02ea76694447d1">math::sinh_axel</a></div><div class="ttdeci">double sinh_axel(double x)</div><div class="ttdef"><b>Definition:</b> <a href="extra_math_8cpp_source.html#l00066">extraMath.cpp:66</a></div></div>
<div class="ttc" id="namespacemath_html_a36dff8b574630e29bbbe0e2c9068a4af"><div class="ttname"><a href="namespacemath.html#a36dff8b574630e29bbbe0e2c9068a4af">math::exp_axel</a></div><div class="ttdeci">double exp_axel(int x)</div><div class="ttdef"><b>Definition:</b> <a href="extra_math_8cpp_source.html#l00031">extraMath.cpp:31</a></div></div>
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